发布求助
文献互助 智能选刊 最新文献

J. Approx. Theory最新文献

筛选
英文 中文
Error Bounds for Solving Pseudodifferential Equations on Spheres by Collocation with Zonal Kernels 带区核配点法求解球面上伪微分方程的误差界
J. Approx. Theory Pub Date : 2002-02-01 DOI: 10.1006/jath.2001.3642
Tanya M. Morton, M. Neamtu
{"title":"Error Bounds for Solving Pseudodifferential Equations on Spheres by Collocation with Zonal Kernels","authors":"Tanya M. Morton, M. Neamtu","doi":"10.1006/jath.2001.3642","DOIUrl":"https://doi.org/10.1006/jath.2001.3642","url":null,"abstract":"The problem of solving pseudodifferential equations on spheres by collocation with zonal kernels is considered and bounds for the approximation error are established. The bounds are given in terms of the maximum separation distance of the collocation points, the order of the pseudodifferential operator, and the smoothness of the employed zonal kernel. A by-product of the results is an improvement on the previously known convergence order estimates for Lagrange interpolation.","PeriodicalId":202056,"journal":{"name":"J. Approx. Theory","volume":"113 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2002-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124365332","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 64
On Multivariate Quasipolynomials of the Minimal Deviation from Zero 关于离零最小偏差的多元拟多项式
J. Approx. Theory Pub Date : 2001-10-31 DOI: 10.1006/jath.2001.3582
F. Luquin
{"title":"On Multivariate Quasipolynomials of the Minimal Deviation from Zero","authors":"F. Luquin","doi":"10.1006/jath.2001.3582","DOIUrl":"https://doi.org/10.1006/jath.2001.3582","url":null,"abstract":"We generalize to several variables both the upper and the lower Gelfond bounds for the least uniform deviation from zero of the quasipolynomials (or Muntz-Legendre polynomials) on the segment [0, 1]. Orthonormal quasipolynomials are also considered.","PeriodicalId":202056,"journal":{"name":"J. Approx. Theory","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2001-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120492939","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some Orthogonal Polynomials Related to Elliptic Functions 与椭圆函数有关的几个正交多项式
J. Approx. Theory Pub Date : 2001-10-31 DOI: 10.1006/jath.2001.3593
M. Ismail, G. Valent, G. Yoon
{"title":"Some Orthogonal Polynomials Related to Elliptic Functions","authors":"M. Ismail, G. Valent, G. Yoon","doi":"10.1006/jath.2001.3593","DOIUrl":"https://doi.org/10.1006/jath.2001.3593","url":null,"abstract":"We characterize the orthogonal polynomials in a class of polynomials defined through their generating functions. This led to three new systems of orthogonal polynomials whose generating functions and orthogonality relations involve elliptic functions. The Hamburger moment problems associated with these polynomials are indeterminate. We give infinite families of weight functions in each case. The different polynomials treated in this work are also polynomials in a parameter and as functions of this parameter they are orthogonal with respect to unique measures, which we find explicitly. Through a quadratic transformation we find a new exactly solvable birth and death process with quartic birth and death rates.","PeriodicalId":202056,"journal":{"name":"J. Approx. Theory","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2001-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128213141","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 41
Markov-Type Inequalities for Products of Müntz Polynomials m<s:1> ntz多项式积的markov型不等式
J. Approx. Theory Pub Date : 2001-10-31 DOI: 10.1006/jath.2001.3583
T. Erdélyi
{"title":"Markov-Type Inequalities for Products of Müntz Polynomials","authors":"T. Erdélyi","doi":"10.1006/jath.2001.3583","DOIUrl":"https://doi.org/10.1006/jath.2001.3583","url":null,"abstract":"Let @[email protected]?(@l\"j)^~\"j\"=\"0 be a sequence of distinct real numbers. The span of {x^@l^\"^0, x^@l^\"^1, ..., x^@l^\"^n} over R is denoted by M\"n(@L)@?span{x^@l^\"^0, x^@l^\"^1, ..., x^@l^\"^n}. Elements of M\"n(@L) are called Muntz polynomials. The principal result of this paper is the following Markov-type inequality for products of Muntz polynomials. [email protected]@?(@l\"j)^~\"j\"=\"[email protected]@?(@c\"j)^~\"j\"=\"0be increasing sequences of nonnegative real numbers. LetK(M\"n(@L), M\"m(@C))@[email protected]?x(pq)'(x)@?\"[\"0\",\" \"1\"]@[email protected]?\"[\"0\",\" \"1\"]:[email protected]?M\"n(@L),[email protected]?M\"m(@C).Then13((m+1)@l\"n+(n+1)@c\"m)=","PeriodicalId":202056,"journal":{"name":"J. Approx. Theory","volume":"181 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2001-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124530237","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
Representation of Reproducing Kernels and the Lebesgue Constants on the Ball 再现核的表示和球上的勒贝格常数
J. Approx. Theory Pub Date : 2001-10-31 DOI: 10.1006/jath.2001.3597
Yuan Xu
{"title":"Representation of Reproducing Kernels and the Lebesgue Constants on the Ball","authors":"Yuan Xu","doi":"10.1006/jath.2001.3597","DOIUrl":"https://doi.org/10.1006/jath.2001.3597","url":null,"abstract":"For the weight function (1-@?x@?^2)^@m^-^1^/^2 on the unit ball, a closed formula of the reproducing kernel is modified to include the case -1/2 =0 is n^@m^+^(^d^-^1^)^/^2.","PeriodicalId":202056,"journal":{"name":"J. Approx. Theory","volume":"101 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2001-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128590389","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 20
An Asymptotic Expansion of the Double Gamma Function 二重函数的渐近展开式
J. Approx. Theory Pub Date : 2001-08-01 DOI: 10.1006/jath.2001.3578
Chelo Ferreira, J. López
{"title":"An Asymptotic Expansion of the Double Gamma Function","authors":"Chelo Ferreira, J. López","doi":"10.1006/jath.2001.3578","DOIUrl":"https://doi.org/10.1006/jath.2001.3578","url":null,"abstract":"The Barnes double gamma function G(z) is considered for large argument z. A new integral representation is obtained for logG(z). An asymptotic expansion in decreasing powers of z and uniformly valid for |Argz|<@p is derived from this integral. The expansion is accompanied by an error bound at any order of the approximation. Numerical experiments show that this bound is very accurate for real z. The accuracy of the error bound decreases for increasing Argz.","PeriodicalId":202056,"journal":{"name":"J. Approx. Theory","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2001-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"119052612","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 55
Strong Asymptotic Behavior and Weak Convergence of Polynomials Orthogonal on an Arc of the Unit Circle 单位圆弧上正交多项式的强渐近性和弱收敛性
J. Approx. Theory Pub Date : 2001-08-01 DOI: 10.1006/jath.2001.3574
M. Hernández, E. Díaz
{"title":"Strong Asymptotic Behavior and Weak Convergence of Polynomials Orthogonal on an Arc of the Unit Circle","authors":"M. Hernández, E. Díaz","doi":"10.1006/jath.2001.3574","DOIUrl":"https://doi.org/10.1006/jath.2001.3574","url":null,"abstract":"Let @s be a finite positive Borel measure supported on an arc @c of the unit circle, such that @s'>0 a.e. on @c. We obtain a theorem about the weak convergence of the corresponding sequence of orthonormal polynomials. Moreover, we prove an analogue of the [email protected]?-Geronimus theorem on strong asymptotics of the orthogonal polynomials on the complement of @c, which completes to its full extent a result of N. I. Akhiezer. The key tool in the proofs is the use of orthogonality with respect to varying measures.","PeriodicalId":202056,"journal":{"name":"J. Approx. Theory","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2001-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120092598","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 8
A Unified Calculus Using the Generalized Bernoulli Polynomials 使用广义伯努利多项式的统一微积分
J. Approx. Theory Pub Date : 2001-04-01 DOI: 10.1006/jath.2000.3550
C. Frappier
{"title":"A Unified Calculus Using the Generalized Bernoulli Polynomials","authors":"C. Frappier","doi":"10.1006/jath.2000.3550","DOIUrl":"https://doi.org/10.1006/jath.2000.3550","url":null,"abstract":"We introduce an @a-calculus with the help of the generalized Bernoulli polynomials. The parameter @a is the order of a Bessel function of the first kind. The differential @a-calculus can be put in a general context where the concept of supporting function is an important tool for practical purposes. Our somewhat more restrictive point of view has the advantage of permitting a consistent definition of an @a-integral with several interesting properties. It results in the possibility of expressing a remainder, in the aforementioned context, in a completely new form in our case.","PeriodicalId":202056,"journal":{"name":"J. Approx. Theory","volume":"97 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2001-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"119175668","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
Approximation of *Weak-to-Norm Continuous Mappings *弱到范数连续映射的逼近
J. Approx. Theory Pub Date : 2000-07-20 DOI: 10.1006/jath.2002.3708
L. D’Ambrosio
{"title":"Approximation of *Weak-to-Norm Continuous Mappings","authors":"L. D’Ambrosio","doi":"10.1006/jath.2002.3708","DOIUrl":"https://doi.org/10.1006/jath.2002.3708","url":null,"abstract":"The purpose of this paper is to study the approximation of vector-valued mappings defined on a subset of a normed space. We investigate Korovkin-type conditions useful to recognize if a given sequence of linear operators is a so-called approximation process. First, we give a sufficient condition for this sequence to approximate the class of bounded, uniformly continuous functions. Then we present some sufficient and necessary conditions guaranteeing the approximation within the class of unbounded, *weak-to-norm continuous mappings. We also derive some estimates of the rate of convergence. We apply concrete approximation processes to derive representation formulae for semigroups of bounded linear operators.","PeriodicalId":202056,"journal":{"name":"J. Approx. Theory","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128452591","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Hermite pseudo-multipliers on new Besov and Triebel-Lizorkin spaces 新Besov和triiebel - lizorkin空间上的Hermite伪乘子
J. Approx. Theory Pub Date : 1900-01-01 DOI: 10.1016/j.jat.2019.105348
T. A. Bui
{"title":"Hermite pseudo-multipliers on new Besov and Triebel-Lizorkin spaces","authors":"T. A. Bui","doi":"10.1016/j.jat.2019.105348","DOIUrl":"https://doi.org/10.1016/j.jat.2019.105348","url":null,"abstract":"","PeriodicalId":202056,"journal":{"name":"J. Approx. Theory","volume":"90 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120130676","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 9
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信